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CAT 2024 Set-2 | Data Interpretation and Logical Reasoning | Question: 9

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The numbers $1,2,3,4,5,6,7,8,9$, and $10$ are placed in ten slots of the following grid based on the conditions below.

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  1. Numbers in any row appear in an increasing order from left to right.
  2. Numbers in any column appear in a decreasing order from top to bottom.
  3. $1$ is placed either in the same row or in the same column as $10$.
  4. Neither $2$ nor $3$ is placed in the same row or in the same column as $10$.
  5. Neither $7$ nor $8$ is placed in the same row or in the same column as $9$.
  6. $4$ and $6$ are placed in the same row.

What is the sum of the numbers placed in Column $4$?

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